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Finding the Fourth Proportional to 32,635.84, 48,952.50 and 10,448.59

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Solution

The fourth proportional to 32,635.84, 48,952.50 and 10,448.59 is: 15,672.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,635.84 : 48,952.50 = 10,448.59 : x
  2. Step 2: Convert to fraction form
    32,635.84/48,952.50 = 10,448.59/x
  3. Step 3: Cross multiply
    32,635.84x = 48,952.50 × 10,448.59
  4. Step 4: Simplify right side
    32,635.84x = 511,484,601.98
  5. Step 5: Solve for x
    x = 511,484,601.98/32,635.84
  6. Step 6: Final answer
    x = 15,672.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.